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Finding the Fourth Proportional to 99,098.78, 136,755.63 and 53,775.61

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Solution

The fourth proportional to 99,098.78, 136,755.63 and 53,775.61 is: 74,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,098.78 : 136,755.63 = 53,775.61 : x
  2. Step 2: Convert to fraction form
    99,098.78/136,755.63 = 53,775.61/x
  3. Step 3: Cross multiply
    99,098.78x = 136,755.63 × 53,775.61
  4. Step 4: Simplify right side
    99,098.78x = 7,354,117,155.31
  5. Step 5: Solve for x
    x = 7,354,117,155.31/99,098.78
  6. Step 6: Final answer
    x = 74,209.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.